Explain how to graph the given piecewise-defined function. be sure to specify the type of endpoint each piece of the function will have and why. f(x) = { -x + 3, x < 2, 3, 2 < x < 4, 4 - 2x, x > 4

Our piecewise-defined function consist of three sub functions.

The first one is

-x+3, for domain x<2

if we put 2, -2+3=1 so at (2,1) function is not defined and we have empty circle at this point.

The second one is

3, for the domain 2<x<4

3 is a constant function for the domain 2<x<4 and not defined at x=2 and x=4, open circle at both points.

The third one is

4-2x, for the domain x>4

if we put 4, 4-2(4)=-4 so at (4,-4) function is not defined and we have empty circle at this point.

So,

our piecewise defined function is discontinuous.

The graph is attached below.

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1

1^3 + 2^3 + 3^3 +4^3 = (1+2+3+4)^2

step-by-step explanation:

i am only able to answer the first part. i am not sure about the second part. sorry